Ответ:

  1. \(\frac{1}{2}+\frac{11}{10}=\frac{5}{10}+\frac{11}{10}=\frac{16}{10}=\frac{8}{5}\).
  2. \(\frac{14}{25}+\frac{3}{2}=\frac{28}{50}+\frac{75}{50}=\frac{103}{50}\).
  3. \(\frac{1}{2}-\frac{49}{20}=\frac{10}{20}-\frac{49}{20}=-\frac{39}{20}\).
  4. \(\frac{9}{5}\cdot\frac{2}{3}=\frac{18}{15}=\frac{6}{5}\).
  5. \(\frac{21}{2}:\frac{3}{5}=\frac{21}{2}\cdot\frac{5}{3}=\frac{35}{2}\).
  6. \(\frac{1}{\frac{1}{35}-\frac{1}{60}}=\frac{1}{\frac{60-35}{2100}}=\frac{2100}{25}=84\).

Ответ: 1) \(\frac{8}{5}\); 2) \(\frac{103}{50}\); 3) \(-\frac{39}{20}\); 4) \(\frac{6}{5}\); 5) \(\frac{35}{2}\); 6) \(84\).